Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	4
1	28	4
2	43	4
3	56	4
4	72	4
5	133	4
6	214	4
7	265	4
8	297	4
9	297	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 60

Calls

1 calls:

13.0ms

(/ (- x y) (- 2.0 (+ x y)))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(/ (- x y) (- 2.0 (+ x y)))

simplify146.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	283	498
1	886	475
2	4321	474
3	5001	474

prune137.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))
0.1b	(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
0.4b	(expm1 (/ (- x y) (- 2.0 (+ x y))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
16×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`log1p-expm1-u`
3×	`pow1` `expm1-log1p-u` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `div-sub` `log1p-expm1` `div-exp` `clear-num` `div-inv` `expm1-udef`

Counts

3 → 82

Calls

3 calls:

12.0ms	(/ (- x y) (- 2.0 (+ x y)))
1.0ms	(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
1.0ms	(expm1 (/ (- x y) (- 2.0 (+ x y))))

series297.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- x y) (- 2.0 (+ x y)))
117.0ms	(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
124.0ms	(expm1 (/ (- x y) (- 2.0 (+ x y))))

simplify163.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	338	687
1	1017	638
2	4745	631
3	5001	631

prune235.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))
0.0b	(expm1 (log1p (/ (- x y) (- 2.0 (+ x y)))))
2.2b	(log1p (/ (- x y) (- 2.0 (+ x y))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
16×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`expm1-log1p-u`
3×	`pow1` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `div-sub` `log1p-expm1` `div-exp` `clear-num` `div-inv` `expm1-udef`

Counts

3 → 82

Calls

3 calls:

12.0ms	(/ (- x y) (- 2.0 (+ x y)))
1.0ms	(expm1 (log1p (/ (- x y) (- 2.0 (+ x y)))))
1.0ms	(log1p (/ (- x y) (- 2.0 (+ x y))))

series383.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (- x y) (- 2.0 (+ x y)))
185.0ms	(expm1 (log1p (/ (- x y) (- 2.0 (+ x y)))))
139.0ms	(log1p (/ (- x y) (- 2.0 (+ x y))))

simplify56.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	435	735
1	1330	686
2	5001	677

prune242.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x y)) (cbrt (- x y)))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

12.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))

series685.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
176.0ms	(cbrt (- x y))
180.0ms	(cbrt (- x y))
181.0ms	(cbrt (- x y))

simplify187.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (176.0ms)

Iter	Nodes	Cost
0	270	790
1	950	753
2	4639	700
3	5001	694

prune337.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0ms

sample295.0ms

Algorithm

intervals

Results

171.0ms

8000×

body

valid